This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Total Biomass Removal Estimates

**Figure 13.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 13.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 14.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 14.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 15.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 16.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 17.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 18.**- Residuals from logbook harvests.

Figure 18.- Residuals from logbook harvests.


SWHS residuals

**Figure 19.**- Residuals from SWHS harvests.

Figure 19.- Residuals from SWHS harvests.



**Figure 20.**- Residual of SWHS releases.

Figure 20.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 21.**- Mean percent of harvest by charter anglers.

Figure 21.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 22.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 22.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 23.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 23.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 24.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 24.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 25.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 25.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 26.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 26.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 27.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 27.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 28.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 28.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 29.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 29.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 30.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 30.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 31.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 31.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 32.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 32.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 33.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 33.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 35.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 35.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 36.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 36.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 37.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.3648208

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.18 while 0.82 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_pelagic

10

26

1

0.903

0.905

0.852

0.947

1.014

0.025

-0.080

northeast

p_pelagic

11

1

1

0.485

0.485

0.247

0.734

1.013

0.127

0.000

CSEO

p_pelagic

11

1

2

0.410

0.403

0.189

0.667

1.018

0.124

0.056

CSEO

p_pelagic

11

10

2

0.409

0.403

0.187

0.664

1.018

0.124

0.048

CSEO

p_yellow

11

10

2

0.729

0.747

0.454

0.912

1.010

0.121

-0.148

CSEO

p_pelagic

11

11

1

0.484

0.480

0.249

0.736

1.024

0.128

0.031

CSEO

p_yellow

11

12

1

0.866

0.883

0.670

0.963

1.011

0.076

-0.224

CSEO

p_pelagic

11

13

1

0.484

0.482

0.244

0.735

1.012

0.129

0.016

CSEO

p_pelagic

11

13

2

0.409

0.402

0.191

0.659

1.012

0.120

0.058

CSEO

p_pelagic

11

14

1

0.485

0.485

0.247

0.727

1.013

0.125

0.000

CSEO

p_pelagic

11

14

2

0.412

0.408

0.193

0.666

1.013

0.123

0.033

CSEO

p_yellow

11

14

1

0.867

0.881

0.688

0.963

1.016

0.074

-0.190

CSEO

p_pelagic

11

15

2

0.410

0.402

0.185

0.664

1.012

0.126

0.064

CSEO

p_pelagic

11

16

1

0.484

0.482

0.247

0.738

1.014

0.127

0.016

CSEO

p_pelagic

11

16

2

0.409

0.402

0.187

0.664

1.011

0.123

0.057

CSEO

p_pelagic

11

17

1

0.486

0.488

0.249

0.730

1.012

0.127

-0.016

CSEO

p_pelagic

11

18

1

0.484

0.483

0.245

0.725

1.014

0.126

0.008

CSEO

p_yellow

11

18

2

0.733

0.749

0.457

0.919

1.011

0.121

-0.132

CSEO

p_pelagic

11

19

2

0.410

0.404

0.191

0.661

1.017

0.120

0.050

CSEO

p_pelagic

11

2

1

0.481

0.479

0.249

0.732

1.014

0.128

0.016

CSEO

p_pelagic

11

20

1

0.483

0.481

0.250

0.724

1.012

0.126

0.016

CSEO

p_yellow

11

20

1

0.866

0.883

0.674

0.964

1.010

0.075

-0.226

CSEO

p_pelagic

11

21

2

0.407

0.401

0.189

0.662

1.010

0.122

0.049

CSEO

p_pelagic

11

3

1

0.484

0.485

0.247

0.729

1.011

0.126

-0.008

CSEO

p_pelagic

11

3

2

0.411

0.405

0.191

0.650

1.017

0.122

0.049

CSEO

p_pelagic

11

4

1

0.481

0.480

0.244

0.725

1.015

0.127

0.008

CSEO

p_pelagic

11

4

2

0.409

0.405

0.193

0.666

1.011

0.122

0.033

CSEO

p_yellow

11

4

2

0.728

0.747

0.452

0.913

1.013

0.121

-0.157

CSEO

p_pelagic

11

5

1

0.485

0.483

0.240

0.726

1.015

0.127

0.016

CSEO

p_pelagic

11

5

2

0.410

0.408

0.186

0.655

1.012

0.123

0.016

CSEO

p_pelagic

11

6

1

0.486

0.487

0.251

0.728

1.014

0.127

-0.008

CSEO

p_pelagic

11

6

2

0.409

0.400

0.197

0.656

1.020

0.123

0.073

CSEO

p_pelagic

11

7

1

0.482

0.478

0.242

0.734

1.015

0.127

0.032

CSEO

p_pelagic

11

8

1

0.479

0.478

0.240

0.722

1.012

0.128

0.008

CSEO

p_pelagic

11

8

2

0.411

0.405

0.191

0.672

1.013

0.126

0.048

CSEO

p_pelagic

11

9

1

0.483

0.480

0.251

0.738

1.029

0.127

0.024

CSEO

p_pelagic

11

9

2

0.411

0.407

0.184

0.677

1.014

0.126

0.032

CSEO

p_yellow

12

1

2

0.127

0.104

0.032

0.358

1.026

0.095

0.241

EWYKT

p_yellow

12

10

2

0.130

0.104

0.029

0.377

1.014

0.101

0.259

EWYKT

p_yellow

12

11

2

0.127

0.104

0.030

0.352

1.023

0.096

0.241

EWYKT

p_yellow

12

12

2

0.129

0.106

0.031

0.365

1.032

0.100

0.230

EWYKT

p_yellow

12

13

2

0.128

0.105

0.031

0.358

1.027

0.098

0.235

EWYKT

p_yellow

12

14

2

0.129

0.106

0.030

0.345

1.021

0.096

0.240

EWYKT

p_yellow

12

15

2

0.130

0.107

0.031

0.362

1.027

0.099

0.232

EWYKT

p_yellow

12

16

2

0.130

0.106

0.032

0.361

1.025

0.099

0.242

EWYKT

p_yellow

12

17

2

0.128

0.106

0.030

0.339

1.019

0.095

0.230

EWYKT

p_yellow

12

18

2

0.128

0.104

0.031

0.352

1.018

0.097

0.247

EWYKT

p_yellow

12

19

2

0.129

0.104

0.031

0.375

1.021

0.100

0.250

EWYKT

p_yellow

12

2

2

0.130

0.104

0.030

0.368

1.023

0.100

0.260

EWYKT

p_yellow

12

20

2

0.129

0.106

0.030

0.364

1.015

0.099

0.233

EWYKT

p_yellow

12

21

2

0.128

0.105

0.031

0.352

1.019

0.096

0.241

EWYKT

p_yellow

12

22

2

0.130

0.106

0.032

0.355

1.023

0.099

0.242

EWYKT

p_yellow

12

23

2

0.130

0.104

0.030

0.380

1.021

0.102

0.255

EWYKT

p_yellow

12

24

2

0.132

0.106

0.030

0.387

1.015

0.101

0.258

EWYKT

p_yellow

12

25

2

0.132

0.108

0.031

0.383

1.023

0.102

0.235

EWYKT

p_yellow

12

26

2

0.133

0.108

0.030

0.364

1.021

0.100

0.251

EWYKT

p_yellow

12

27

2

0.133

0.109

0.032

0.362

1.020

0.102

0.236

EWYKT

p_yellow

12

28

2

0.132

0.107

0.030

0.360

1.016

0.098

0.254

EWYKT

p_yellow

12

3

2

0.129

0.106

0.029

0.349

1.014

0.098

0.235

EWYKT

p_yellow

12

4

2

0.128

0.104

0.029

0.351

1.031

0.100

0.241

EWYKT

p_yellow

12

5

2

0.128

0.103

0.030

0.354

1.017

0.099

0.251

EWYKT

p_yellow

12

6

2

0.126

0.103

0.031

0.356

1.015

0.097

0.238

EWYKT

p_yellow

12

7

2

0.131

0.106

0.029

0.362

1.032

0.101

0.247

EWYKT

p_yellow

12

8

2

0.127

0.101

0.030

0.360

1.021

0.101

0.259

EWYKT

p_yellow

12

9

2

0.130

0.106

0.030

0.357

1.024

0.100

0.241

EWYKT

p_pelagic

13

1

1

0.484

0.483

0.230

0.741

1.114

0.134

0.007

NSEI

p_pelagic

13

1

2

0.241

0.227

0.084

0.478

1.084

0.104

0.135

NSEI

p_pelagic

13

10

1

0.491

0.490

0.230

0.746

1.067

0.135

0.007

NSEI

p_pelagic

13

10

2

0.245

0.230

0.088

0.468

1.077

0.103

0.146

NSEI

p_pelagic

13

11

1

0.495

0.492

0.238

0.758

1.075

0.136

0.022

NSEI

p_pelagic

13

11

2

0.241

0.226

0.089

0.480

1.085

0.101

0.149

NSEI

p_pelagic

13

12

1

0.497

0.498

0.236

0.749

1.086

0.133

-0.008

NSEI

p_pelagic

13

12

2

0.245

0.232

0.089

0.480

1.081

0.102

0.128

NSEI

p_pelagic

13

13

1

0.494

0.489

0.254

0.746

1.077

0.130

0.038

NSEI

p_pelagic

13

13

2

0.244

0.228

0.089

0.482

1.088

0.102

0.157

NSEI

p_pelagic

13

14

1

0.498

0.500

0.245

0.746

1.058

0.130

-0.015

NSEI

p_pelagic

13

14

2

0.244

0.230

0.086

0.477

1.103

0.101

0.138

NSEI

p_pelagic

13

15

1

0.500

0.501

0.249

0.747

1.085

0.131

-0.008

NSEI

p_pelagic

13

15

2

0.249

0.235

0.090

0.485

1.086

0.102

0.137

NSEI

p_pelagic

13

16

1

0.501

0.500

0.246

0.754

1.071

0.132

0.008

NSEI

p_pelagic

13

16

2

0.249

0.235

0.090

0.472

1.062

0.103

0.136

NSEI

p_pelagic

13

17

1

0.503

0.505

0.253

0.750

1.053

0.132

-0.015

NSEI

p_pelagic

13

17

2

0.248

0.236

0.093

0.468

1.073

0.100

0.121

NSEI

p_pelagic

13

18

1

0.503

0.500

0.247

0.753

1.047

0.131

0.023

NSEI

p_pelagic

13

18

2

0.250

0.237

0.091

0.477

1.061

0.100

0.130

NSEI

p_pelagic

13

19

1

0.504

0.506

0.258

0.750

1.050

0.130

-0.015

NSEI

p_pelagic

13

19

2

0.255

0.243

0.094

0.491

1.064

0.103

0.116

NSEI

p_pelagic

13

2

1

0.486

0.484

0.227

0.741

1.104

0.135

0.015

NSEI

p_pelagic

13

2

2

0.240

0.225

0.088

0.469

1.103

0.101

0.148

NSEI

p_pelagic

13

20

1

0.507

0.506

0.269

0.751

1.042

0.127

0.008

NSEI

p_pelagic

13

20

2

0.255

0.243

0.095

0.493

1.046

0.103

0.116

NSEI

p_pelagic

13

21

1

0.511

0.509

0.256

0.755

1.039

0.128

0.016

NSEI

p_pelagic

13

21

2

0.255

0.241

0.098

0.477

1.065

0.100

0.139

NSEI

p_pelagic

13

22

2

0.260

0.246

0.102

0.482

1.041

0.100

0.140

NSEI

p_pelagic

13

23

2

0.160

0.149

0.061

0.310

1.017

0.065

0.169

NSEI

p_pelagic

13

25

2

0.149

0.139

0.058

0.287

1.010

0.060

0.167

NSEI

p_pelagic

13

3

1

0.486

0.487

0.231

0.745

1.097

0.136

-0.007

NSEI

p_pelagic

13

3

2

0.242

0.227

0.084

0.477

1.102

0.103

0.145

NSEI

p_pelagic

13

4

1

0.492

0.493

0.233

0.751

1.105

0.135

-0.007

NSEI

p_pelagic

13

4

2

0.242

0.227

0.081

0.484

1.108

0.103

0.146

NSEI

p_pelagic

13

5

1

0.487

0.487

0.231

0.743

1.089

0.133

0.000

NSEI

p_pelagic

13

5

2

0.243

0.230

0.085

0.465

1.098

0.100

0.131

NSEI

p_pelagic

13

6

1

0.490

0.489

0.240

0.748

1.082

0.134

0.007

NSEI

p_pelagic

13

6

2

0.244

0.229

0.087

0.489

1.088

0.103

0.145

NSEI

p_pelagic

13

7

1

0.494

0.493

0.233

0.746

1.078

0.134

0.007

NSEI

p_pelagic

13

7

2

0.245

0.233

0.089

0.474

1.113

0.101

0.118

NSEI

p_pelagic

13

8

1

0.490

0.489

0.247

0.743

1.076

0.132

0.008

NSEI

p_pelagic

13

8

2

0.243

0.229

0.087

0.483

1.107

0.102

0.137

NSEI

p_pelagic

13

9

1

0.495

0.497

0.244

0.739

1.073

0.132

-0.015

NSEI

p_pelagic

13

9

2

0.239

0.227

0.086

0.471

1.064

0.099

0.121

NSEI

p_yellow

14

1

1

0.908

0.922

0.750

0.985

1.011

0.064

-0.217

NSEO

p_yellow

14

19

2

0.924

0.940

0.765

0.989

1.012

0.059

-0.271

NSEO

p_yellow

14

22

1

0.906

0.922

0.732

0.985

1.010

0.066

-0.243

NSEO

p_yellow

14

4

1

0.907

0.923

0.732

0.984

1.010

0.065

-0.245

NSEO

p_dsr

14

44

1

0.089

0.065

0.012

0.326

1.073

0.079

0.304

NSEO

p_pelagic

14

45

1

0.939

0.939

0.931

0.950

1.014

0.005

0.000

NSEO

p_dsr

14

45

1

0.092

0.068

0.014

0.298

1.025

0.076

0.317

NSEO

p_yellow

14

9

2

0.924

0.939

0.769

0.989

1.011

0.058

-0.258

NSEO

p_pelagic

16

1

1

0.444

0.446

0.180

0.704

1.093

0.135

-0.015

SSEO

p_pelagic

16

1

2

0.420

0.420

0.159

0.695

1.089

0.137

0.000

SSEO

p_pelagic

16

10

1

0.452

0.448

0.200

0.717

1.065

0.135

0.030

SSEO

p_pelagic

16

10

2

0.422

0.418

0.175

0.695

1.053

0.135

0.030

SSEO

p_pelagic

16

11

1

0.450

0.449

0.187

0.715

1.073

0.137

0.007

SSEO

p_pelagic

16

11

2

0.425

0.418

0.180

0.685

1.071

0.134

0.052

SSEO

p_pelagic

16

12

1

0.453

0.454

0.189

0.705

1.064

0.135

-0.007

SSEO

p_pelagic

16

12

2

0.422

0.419

0.183

0.690

1.057

0.132

0.023

SSEO

p_pelagic

16

13

1

0.454

0.453

0.199

0.712

1.058

0.135

0.007

SSEO

p_pelagic

16

13

2

0.420

0.414

0.181

0.681

1.062

0.130

0.046

SSEO

p_pelagic

16

14

1

0.452

0.449

0.205

0.700

1.058

0.130

0.023

SSEO

p_pelagic

16

14

2

0.422

0.420

0.181

0.690

1.059

0.132

0.015

SSEO

p_pelagic

16

15

1

0.457

0.458

0.205

0.721

1.061

0.133

-0.008

SSEO

p_pelagic

16

15

2

0.422

0.418

0.179

0.689

1.054

0.133

0.030

SSEO

p_pelagic

16

16

1

0.455

0.460

0.208

0.714

1.048

0.131

-0.038

SSEO

p_pelagic

16

16

2

0.430

0.428

0.185

0.690

1.056

0.131

0.015

SSEO

p_pelagic

16

17

1

0.456

0.452

0.208

0.721

1.047

0.133

0.030

SSEO

p_pelagic

16

17

2

0.428

0.423

0.191

0.691

1.041

0.130

0.038

SSEO

p_pelagic

16

18

1

0.456

0.456

0.211

0.715

1.041

0.132

0.000

SSEO

p_pelagic

16

18

2

0.430

0.426

0.193

0.692

1.037

0.130

0.031

SSEO

p_pelagic

16

19

1

0.460

0.458

0.217

0.715

1.026

0.131

0.015

SSEO

p_pelagic

16

19

2

0.431

0.428

0.188

0.690

1.031

0.131

0.023

SSEO

p_pelagic

16

2

1

0.452

0.451

0.180

0.715

1.081

0.139

0.007

SSEO

p_pelagic

16

2

2

0.418

0.416

0.164

0.685

1.073

0.136

0.015

SSEO

p_pelagic

16

20

1

0.462

0.462

0.213

0.715

1.029

0.130

0.000

SSEO

p_pelagic

16

20

2

0.434

0.431

0.202

0.689

1.025

0.127

0.024

SSEO

p_pelagic

16

21

1

0.466

0.467

0.227

0.714

1.023

0.127

-0.008

SSEO

p_pelagic

16

21

2

0.438

0.435

0.200

0.696

1.034

0.130

0.023

SSEO

p_pelagic

16

22

2

0.446

0.444

0.217

0.694

1.028

0.128

0.016

SSEO

p_pelagic

16

23

2

0.331

0.319

0.142

0.582

1.015

0.116

0.104

SSEO

p_yellow

16

23

1

0.545

0.562

0.234

0.791

1.027

0.150

-0.114

SSEO

p_dsr

16

23

1

0.637

0.667

0.271

0.894

1.020

0.157

-0.191

SSEO

p_slope

16

26

1

0.202

0.168

0.020

0.453

1.067

0.141

0.241

SSEO

p_slope

16

28

1

0.152

0.136

0.017

0.360

1.014

0.099

0.162

SSEO

p_pelagic

16

3

1

0.450

0.452

0.179

0.716

1.090

0.136

-0.015

SSEO

p_pelagic

16

3

2

0.418

0.417

0.160

0.689

1.085

0.138

0.007

SSEO

p_pelagic

16

4

1

0.444

0.444

0.184

0.705

1.064

0.138

0.000

SSEO

p_pelagic

16

4

2

0.419

0.418

0.163

0.689

1.076

0.138

0.007

SSEO

p_pelagic

16

42

1

0.832

0.832

0.825

0.839

1.015

0.003

0.000

SSEO

p_dsr

16

42

1

0.478

0.485

0.406

0.515

1.585

0.028

-0.252

SSEO

p_slope

16

42

1

0.138

0.128

0.105

0.216

1.738

0.031

0.323

SSEO

p_dsr

16

44

1

0.077

0.073

0.030

0.151

1.013

0.031

0.129

SSEO

p_dsr

16

45

1

0.062

0.059

0.028

0.110

1.019

0.022

0.139

SSEO

p_pelagic

16

5

1

0.448

0.452

0.187

0.708

1.076

0.137

-0.029

SSEO

p_pelagic

16

5

2

0.419

0.415

0.164

0.679

1.073

0.135

0.030

SSEO

p_pelagic

16

6

1

0.448

0.447

0.193

0.697

1.080

0.133

0.008

SSEO

p_pelagic

16

6

2

0.416

0.410

0.165

0.682

1.094

0.136

0.044

SSEO

p_pelagic

16

7

1

0.445

0.444

0.175

0.708

1.071

0.137

0.007

SSEO

p_pelagic

16

7

2

0.420

0.418

0.165

0.690

1.069

0.137

0.015

SSEO

p_pelagic

16

8

1

0.450

0.447

0.186

0.712

1.065

0.137

0.022

SSEO

p_pelagic

16

8

2

0.419

0.420

0.167

0.682

1.088

0.134

-0.007

SSEO

p_pelagic

16

9

1

0.451

0.449

0.192

0.716

1.084

0.138

0.015

SSEO

p_pelagic

16

9

2

0.420

0.418

0.171

0.689

1.065

0.135

0.015

SSEO

p_pelagic

3

11

2

0.192

0.179

0.067

0.388

1.014

0.084

0.155

PWSI

p_pelagic

3

18

1

0.552

0.556

0.292

0.785

1.012

0.130

-0.031

PWSI

p_pelagic

3

18

2

0.194

0.181

0.065

0.395

1.013

0.086

0.151

PWSI

p_pelagic

3

5

2

0.194

0.180

0.067

0.397

1.011

0.087

0.161

PWSI

p_pelagic

3

8

1

0.553

0.555

0.293

0.796

1.010

0.132

-0.015

PWSI

p_pelagic

4

1

1

0.561

0.566

0.313

0.785

1.015

0.124

-0.040

PWSO

p_pelagic

4

12

1

0.560

0.563

0.309

0.794

1.014

0.127

-0.024

PWSO

p_pelagic

4

15

1

0.561

0.567

0.315

0.793

1.012

0.126

-0.048

PWSO

p_pelagic

4

17

1

0.560

0.565

0.308

0.788

1.011

0.126

-0.040

PWSO

p_pelagic

4

17

2

0.561

0.564

0.302

0.797

1.013

0.128

-0.023

PWSO

p_pelagic

4

19

2

0.558

0.561

0.304

0.795

1.011

0.128

-0.023

PWSO

p_yellow

4

29

2

0.692

0.699

0.519

0.840

1.010

0.083

-0.084

PWSO

p_yellow

4

30

2

0.764

0.783

0.505

0.924

1.025

0.110

-0.173

PWSO

p_yellow

4

31

2

0.807

0.822

0.585

0.942

1.020

0.093

-0.161

PWSO

p_yellow

4

32

2

0.852

0.863

0.692

0.950

1.014

0.067

-0.163

PWSO

p_pelagic

4

5

1

0.562

0.564

0.315

0.792

1.013

0.124

-0.016

PWSO

p_pelagic

4

6

1

0.563

0.568

0.306

0.793

1.011

0.126

-0.040

PWSO

p_pelagic

4

6

2

0.558

0.560

0.312

0.786

1.011

0.126

-0.016

PWSO

p_pelagic

4

7

1

0.563

0.566

0.320

0.788

1.015

0.124

-0.024

PWSO

p_pelagic

4

8

1

0.557

0.560

0.300

0.785

1.011

0.127

-0.024

PWSO

p_pelagic

4

8

2

0.561

0.569

0.307

0.792

1.014

0.126

-0.063

PWSO

p_black

8

40

1

0.489

0.416

0.339

0.963

1.420

0.192

0.380

afognak

p_black

8

48

1

0.525

0.492

0.411

0.964

1.050

0.130

0.255

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

mu_beta0_pH

1

1

0.304

0.442

-2.043

1.821

1.501

0.967

-0.143

CI

tau_beta0_pH

1

1

5.801

1.580

0.059

40.752

1.294

11.901

0.355

CI

mu_beta1_pH

1

1

3.713

3.350

1.453

8.638

1.389

1.872

0.194

CI

tau_beta1_pH

1

1

16.978

6.504

0.199

82.974

1.332

22.599

0.463

CI

beta0_pH

1

1

-0.724

0.142

-3.912

0.666

4.599

1.526

-0.567

CI

beta0_pH

1

3

0.924

1.100

-0.880

1.699

1.136

0.634

-0.277

CI

beta1_pH

1

1

5.332

3.760

2.227

11.197

5.137

3.047

0.516

CI

beta2_pH

1

1

0.380

0.284

0.066

1.239

1.726

0.339

0.283

CI

beta0_pH

10

1

-0.473

-0.487

-1.258

0.175

2.075

0.406

0.034

northeast

beta0_pH

10

3

2.070

2.084

1.776

2.259

1.212

0.116

-0.121

northeast

beta1_pH

10

1

2.948

2.995

2.026

3.872

1.982

0.518

-0.091

northeast

beta1_pH

10

3

0.047

0.000

0.000

0.430

1.658

0.122

0.386

northeast

beta2_pH

10

1

0.961

0.569

0.269

6.103

1.430

1.372

0.286

northeast

beta2_pH

10

3

2.477

3.261

-17.969

19.288

1.148

9.937

-0.079

northeast

beta3_pH

10

1

31.166

31.137

29.280

33.813

1.289

1.171

0.025

northeast

beta4_pH

10

4

1.748

0.433

0.019

9.170

1.185

12.697

0.104

northeast

beta0_pH

11

1

-0.176

-0.122

-1.433

1.195

2.140

0.753

-0.072

CSEO

beta0_pH

11

3

1.401

1.260

-0.640

2.897

2.787

1.079

0.131

CSEO

beta0_pH

11

4

1.432

1.460

-0.265

2.421

2.046

0.767

-0.037

CSEO

beta1_pH

11

1

3.111

3.321

0.829

5.201

3.270

1.364

-0.154

CSEO

beta1_pH

11

3

1.799

2.038

0.000

4.015

2.529

1.264

-0.189

CSEO

beta1_pH

11

4

1.381

1.382

0.002

3.363

1.508

0.967

-0.001

CSEO

beta2_pH

11

1

-0.646

0.272

-5.074

0.897

3.382

1.784

-0.515

CSEO

beta3_pH

11

1

34.581

31.102

29.081

42.986

13.885

5.870

0.593

CSEO

beta3_pH

11

3

39.688

40.782

30.057

42.884

1.787

3.252

-0.336

CSEO

beta3_pH

11

4

38.821

40.002

29.618

42.692

1.243

3.470

-0.340

CSEO

beta4_pH

11

1

0.465

0.453

0.424

0.527

4.223

0.032

0.380

CSEO

beta0_pelagic

11

-0.071

-0.067

-0.438

0.234

1.254

0.142

-0.028

CSEO

beta1_pelagic

11

1.138

1.144

0.801

1.494

1.818

0.189

-0.032

CSEO

beta2_pelagic

11

1.683

1.023

0.292

5.971

1.359

1.589

0.415

CSEO

beta3_pelagic

11

30.525

30.521

27.878

33.633

1.114

1.507

0.003

CSEO

beta0_yellow

11

0.032

0.041

-0.225

0.221

1.158

0.110

-0.082

CSEO

beta1_yellow

11

1.987

1.956

1.488

2.789

1.169

0.305

0.102

CSEO

beta2_yellow

11

-3.378

-1.954

-15.484

-0.468

1.225

3.946

-0.361

CSEO

beta0_pH

12

1

0.509

0.544

-0.060

0.987

1.397

0.274

-0.128

EWYKT

beta0_pH

12

3

1.592

1.161

-1.187

3.888

3.638

1.609

0.268

EWYKT

beta1_pH

12

1

2.990

2.961

2.283

3.752

1.388

0.377

0.077

EWYKT

beta1_pH

12

3

2.346

2.887

0.000

5.322

4.078

1.765

-0.307

EWYKT

beta2_pH

12

1

1.514

1.141

0.532

3.736

1.767

0.913

0.409

EWYKT

beta3_pH

12

3

40.229

42.049

30.265

42.853

2.124

3.454

-0.527

EWYKT

beta3_pH

12

4

40.784

40.884

38.846

42.502

1.134

1.190

-0.084

EWYKT

beta0_pH

13

1

-1.686

-1.601

-2.822

-0.907

1.771

0.498

-0.171

NSEI

beta0_pH

13

3

1.379

1.157

-0.421

2.818

3.598

1.040

0.213

NSEI

beta0_pH

13

4

1.046

1.303

-0.435

1.826

2.507

0.711

-0.361

NSEI

beta1_pH

13

1

4.498

4.413

3.585

5.741

1.778

0.562

0.151

NSEI

beta1_pH

13

3

1.582

1.898

0.022

3.487

3.919

1.166

-0.271

NSEI

beta1_pH

13

4

0.815

0.563

0.000

2.428

2.563

0.777

0.324

NSEI

beta2_pH

13

1

0.996

0.787

0.482

2.915

1.641

0.604

0.346

NSEI

beta3_pH

13

1

30.666

30.632

29.584

31.971

1.378

0.613

0.055

NSEI

beta3_pH

13

3

40.163

41.205

30.703

42.860

1.886

2.999

-0.347

NSEI

beta3_pH

13

4

39.806

41.189

30.018

42.909

1.321

3.528

-0.392

NSEI

beta0_pelagic

13

-0.053

-0.015

-0.626

0.374

1.724

0.274

-0.139

NSEI

beta1_pelagic

13

1.970

1.967

0.696

3.356

1.462

0.733

0.004

NSEI

beta2_pelagic

13

0.524

0.241

0.104

3.297

1.288

0.895

0.316

NSEI

beta3_pelagic

13

36.777

36.757

30.204

40.871

1.194

2.892

0.007

NSEI

beta0_yellow

13

-1.278

-1.228

-2.065

-0.958

1.114

0.246

-0.203

NSEI

beta2_yellow

13

-0.997

-0.522

-6.469

-0.195

1.124

1.945

-0.244

NSEI

beta0_pH

14

1

-1.750

-1.500

-4.010

-0.729

1.523

0.853

-0.293

NSEO

beta0_pH

14

3

-0.169

-0.033

-2.270

1.092

1.170

0.853

-0.159

NSEO

beta0_pH

14

4

0.078

0.126

-2.204

1.859

1.269

0.985

-0.049

NSEO

beta1_pH

14

1

4.552

4.313

3.494

7.169

1.508

0.884

0.270

NSEO

beta1_pH

14

3

2.929

2.821

1.564

5.015

1.148

0.873

0.124

NSEO

beta1_pH

14

4

2.197

2.189

0.060

4.627

1.269

1.073

0.007

NSEO

beta2_pH

14

1

1.151

0.857

0.399

3.513

1.543

0.789

0.373

NSEO

beta3_pH

14

1

31.129

31.167

29.596

32.295

1.354

0.642

-0.059

NSEO

beta3_pH

14

4

40.348

40.688

35.203

41.909

1.247

1.635

-0.208

NSEO

beta0_pH

15

1

-0.673

-0.659

-1.573

0.142

1.197

0.468

-0.030

SSEI

beta0_pH

15

4

1.010

1.409

-0.962

1.782

3.573

0.817

-0.488

SSEI

beta1_pH

15

1

3.157

3.194

2.220

4.170

1.204

0.547

-0.068

SSEI

beta1_pH

15

4

0.861

0.463

0.000

3.037

3.430

0.917

0.434

SSEI

beta2_pH

15

1

0.847

0.658

0.319

3.225

1.458

0.644

0.294

SSEI

beta3_pH

15

1

30.142

29.975

29.040

31.947

1.165

0.821

0.203

SSEI

beta3_pH

15

4

39.374

40.855

30.296

42.732

1.376

3.367

-0.440

SSEI

beta1_pelagic

15

0.138

0.046

0.011

0.748

1.168

0.204

0.451

SSEI

beta2_yellow

15

-4.732

-1.762

-19.247

-0.282

1.360

5.491

-0.541

SSEI

beta0_pH

16

1

-1.694

-1.582

-2.862

-0.864

1.342

0.569

-0.197

SSEO

beta0_pH

16

3

1.951

1.387

-0.475

4.327

4.573

1.615

0.349

SSEO

beta0_pH

16

4

1.380

1.303

-0.295

2.855

3.142

0.970

0.079

SSEO

beta1_pH

16

1

4.768

4.648

3.810

6.112

1.370

0.655

0.183

SSEO

beta1_pH

16

3

2.430

3.083

0.000

5.129

4.849

1.820

-0.359

SSEO

beta1_pH

16

4

1.610

1.738

0.001

3.514

3.151

1.102

-0.116

SSEO

beta3_pH

16

3

40.115

41.892

30.018

42.790

2.354

3.641

-0.488

SSEO

beta3_pH

16

4

40.213

41.506

30.158

42.750

1.864

3.326

-0.389

SSEO

beta4_pH

16

5

10.163

8.631

4.001

26.020

1.170

6.936

0.221

SSEO

beta0_pelagic

16

-0.243

-0.168

-1.282

0.144

1.508

0.335

-0.224

SSEO

beta1_pelagic

16

1.465

1.324

0.649

2.974

1.573

0.619

0.228

SSEO

beta2_pelagic

16

0.890

0.406

0.119

4.638

1.308

1.176

0.412

SSEO

beta3_pelagic

16

32.921

32.476

28.672

38.875

1.314

2.586

0.172

SSEO

beta3_yellow

16

33.183

32.371

28.305

41.481

1.139

3.404

0.239

SSEO

mu_beta0_pH

2

1

-1.079

-0.808

-4.131

0.330

1.211

1.084

-0.250

NG

tau_beta0_pH

2

1

1.018

0.652

0.062

4.084

1.259

1.098

0.333

NG

mu_beta1_pH

2

1

3.744

3.160

1.693

9.663

1.147

2.172

0.269

NG

mu_beta1_pH

2

3

0.004

0.000

0.000

0.047

1.575

0.011

0.352

NG

tau_beta1_pH

2

3

1.016

0.109

0.041

6.768

1.183

5.261

0.172

NG

mu_beta2_pH

2

1

1.072

0.655

-0.183

4.653

1.441

1.196

0.349

NG

mu_beta2_pH

2

3

2.683

3.185

-17.309

21.333

1.160

10.082

-0.050

NG

tau_beta2_pH

2

1

9.779

2.004

0.054

69.487

1.176

17.839

0.436

NG

beta0_pH

2

1

0.604

0.611

0.050

1.093

1.542

0.260

-0.027

NG

beta1_pH

2

1

3.313

3.175

2.017

5.263

1.918

0.817

0.169

NG

beta2_pH

2

1

0.255

0.209

0.098

0.645

1.951

0.146

0.315

NG

beta3_pH

2

1

33.116

32.404

28.299

42.134

1.895

3.303

0.216

NG

beta4_pH

2

5

0.904

0.597

0.105

2.947

1.199

2.703

0.114

NG

beta3_yellow

2

28.875

28.685

27.293

32.121

1.111

1.124

0.169

NG

mu_beta0_pH

3

3

1.077

0.910

-0.661

3.459

1.951

1.073

0.156

PWSI

mu_beta0_pH

3

4

0.982

1.047

-0.674

2.380

1.538

0.768

-0.085

PWSI

tau_beta0_pH

3

1

0.959

0.617

0.081

3.871

1.346

1.104

0.310

PWSI

tau_beta0_pH

3

3

4.399

1.054

0.061

33.953

1.171

10.416

0.321

PWSI

tau_beta0_pH

3

4

6.038

1.705

0.105

46.700

1.164

12.194

0.355

PWSI

mu_beta1_pH

3

1

3.745

3.729

1.954

5.596

1.162

0.985

0.016

PWSI

mu_beta1_pH

3

3

1.914

2.303

0.006

4.126

3.922

1.361

-0.286

PWSI

mu_beta1_pH

3

4

1.220

1.058

0.008

3.235

1.910

1.024

0.158

PWSI

tau_beta1_pH

3

1

15.459

8.398

0.654

71.303

1.489

18.104

0.390

PWSI

tau_beta1_pH

3

3

12.772

5.456

0.045

73.256

1.362

18.758

0.390

PWSI

tau_beta1_pH

3

4

7.149

0.639

0.046

57.477

1.753

14.720

0.442

PWSI

mu_beta2_pH

3

1

1.767

0.843

-0.088

9.092

1.480

2.395

0.386

PWSI

tau_beta2_pH

3

1

12.214

2.990

0.043

71.900

1.303

19.577

0.471

PWSI

beta0_pH

3

1

0.741

0.722

-0.125

1.558

1.551

0.460

0.041

PWSI

beta1_pH

3

1

3.167

3.025

1.558

5.456

2.503

0.963

0.147

PWSI

beta2_pH

3

1

0.277

0.207

0.076

0.928

1.348

0.250

0.280

PWSI

beta3_pH

3

1

33.339

33.054

27.377

40.580

1.306

3.134

0.091

PWSI

beta3_pelagic

3

27.693

28.377

22.711

31.752

1.141

2.890

-0.237

PWSI

beta0_pH

4

1

0.639

0.630

-0.371

1.536

2.299

0.545

0.017

PWSO

beta1_pH

4

1

3.322

3.175

1.878

4.895

1.377

0.864

0.170

PWSO

beta2_pH

4

1

0.323

0.240

0.122

1.080

1.178

0.275

0.302

PWSO

beta3_pH

4

1

31.045

31.003

26.654

36.106

1.788

2.450

0.017

PWSO

beta0_pelagic

4

0.268

0.263

-0.033

0.650

1.146

0.164

0.031

PWSO

beta1_pelagic

4

0.773

0.784

0.388

1.109

1.120

0.182

-0.060

PWSO

beta3_pelagic

4

26.195

26.301

23.324

29.654

1.113

1.445

-0.073

PWSO

beta0_yellow

4

0.870

0.965

-0.044

1.197

1.376

0.308

-0.309

PWSO

beta1_yellow

4

1.372

1.175

0.618

3.526

1.158

0.697

0.283

PWSO

beta0_pH

5

1

-1.694

-1.366

-5.951

-0.268

1.417

1.406

-0.233

BSAI

beta1_pH

5

1

3.463

3.151

1.949

7.739

1.410

1.435

0.217

BSAI

beta2_pH

5

1

1.991

1.386

0.292

7.200

1.266

1.886

0.321

BSAI

beta3_pH

5

1

27.104

27.260

24.501

28.769

1.121

1.072

-0.146

BSAI

beta4_pH

5

5

0.888

0.612

0.125

2.865

1.256

2.581

0.107

BSAI

beta1_pH

6

1

3.261

3.038

1.353

6.844

1.571

1.382

0.161

SOKO2SAP

beta2_pH

6

1

0.702

0.235

0.068

4.669

1.453

1.305

0.358

SOKO2SAP

beta3_pH

6

1

35.875

35.412

27.996

42.579

1.541

3.940

0.118

SOKO2SAP

beta4_pH

6

4

1.110

0.753

0.198

3.298

1.276

5.670

0.063

SOKO2SAP

beta0_pH

8

1

-1.382

-1.273

-2.739

-0.605

1.507

0.516

-0.211

afognak

beta0_pH

8

3

0.327

0.392

-0.333

0.694

1.683

0.272

-0.239

afognak

beta1_pH

8

1

2.686

2.563

1.673

4.206

1.870

0.680

0.181

afognak

beta1_pH

8

3

0.787

0.000

0.000

4.625

2.249

1.520

0.518

afognak

beta2_pH

8

1

1.110

0.422

0.176

6.344

1.310

1.691

0.407

afognak

beta2_pH

8

3

2.632

3.434

-18.006

19.230

1.167

9.935

-0.081

afognak

beta3_pH

8

1

32.515

32.106

29.650

36.541

1.108

1.861

0.220

afognak

beta3_pH

8

3

36.789

37.671

28.499

42.487

1.255

4.587

-0.192

afognak

beta_H

8

1

1.156

1.265

-2.372

3.331

1.159

2.428

-0.045

afognak

beta0_H

8

6.494

6.702

-15.232

27.595

1.212

21.521

-0.010

afognak

beta0_pH

9

1

-1.139

-0.987

-2.394

-0.173

1.297

0.636

-0.239

eastside

beta1_pH

9

1

2.919

2.820

1.648

4.533

1.836

0.729

0.136

eastside

beta1_pH

9

3

0.000

0.000

0.000

0.003

1.505

0.001

0.000

eastside

beta2_pH

9

1

0.648

0.349

0.140

3.283

1.459

0.929

0.322

eastside

beta2_pH

9

3

2.391

3.141

-18.254

19.315

1.142

10.063

-0.075

eastside

beta4_pH

9

3

0.993

0.695

0.176

3.444

1.133

1.794

0.166

eastside

tau_beta5_black_kod

0.353

0.188

0.044

1.497

1.235

1.095

0.151

pG

13

30

0.569

0.568

0.449

0.695

1.124

0.064

0.016

NSEI

pG

13

33

0.578

0.574

0.462

0.712

1.134

0.064

0.062

NSEI

pG

2

24

0.443

0.439

0.343

0.570

1.140

0.058

0.069

NG

pG

2

34

0.539

0.535

0.441

0.662

1.102

0.057

0.071

NG

lambda_H

5

1.777

0.286

0.008

14.484

1.200

5.384

0.277

BSAI

b2_pG

6

14.549

12.525

5.553

37.124

1.102

7.749

0.261

SOKO2SAP

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

1,430.00

366.00

1,963.00

410.00

Prop. of total

0.80

0.20

0.83

0.17

Prop. median less than 1

0.13

0.14

0.16

0.34

Prop. median less than 10

0.19

0.36

0.27

0.59

Prop. median less than 50

0.26

0.53

0.36

0.69

Median of the median values

709.37

28.35

184.56

4.12

Mean of the median values

2,268.89

553.85

963.34

242.26

Mean skew of posteriors

0.18

0.25

0.21

0.24

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

17.00

26.00

178.00

40.00

Prop. of total

0.40

0.60

0.82

0.18

Prop. median less than 1

0.41

0.46

0.15

0.65

Prop. median less than 10

0.41

0.62

0.20

0.78

Prop. median less than 50

0.41

0.85

0.21

0.95

Median of the median values

289.52

1.16

454.07

0.27

Mean of the median values

2,171.17

392.10

1,077.60

89.45

Mean skew of posteriors

0.19

0.19

0.13

0.17

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta_H

1

beta0_H

1

beta0_pelagic

4

beta0_pH

27

beta0_yellow

3

beta1_pelagic

5

beta1_pH

28

beta1_yellow

2

beta2_pelagic

3

beta2_pH

17

beta2_yellow

3

beta3_pelagic

5

beta3_pH

21

beta3_yellow

2

beta4_pH

7

Bp_ay

1

Bp_ayu

1

H_ay

18

H_ayg

2

H_ayu

19

Hb_ay

6

Hb_ayg

3

Hb_ayu

6

Hd_ay

1

Hd_ayg

1

Hd_ayu

1

Ho_ay

2

Ho_ayg

4

Ho_ayu

7

Hp_ay

6

Hp_ayg

2

Hp_ayu

7

Hs_ay

1

Hs_ayg

1

Hs_ayu

3

Htrend_ay

11

Hy_ay

3

Hy_ayg

3

Hy_ayu

5

lambda_H

1

mu_beta0_pH

4

mu_beta1_pH

6

mu_beta2_pH

3

mu_wt

1

p_black

1

p_dsr

1

p_pelagic

2

p_slope

2

pG

3

pH

299

R_ay

55

R_ayg

42

R_ayu

11

Rb_ay

39

Rb_ayg

30

Rb_ayu

35

Rd_ay

4

Rd_ayg

1

Rd_ayu

2

re_black

1

re_dsr

1

re_pelagic

96

re_pH

337

re_slope

1

re_yellow

16

Ro_ay

6

Ro_ayg

3

Ro_ayu

13

Rp_ay

57

Rp_ayg

46

Rp_ayu

36

Rs_ay

3

Rs_ayg

9

Rs_ayu

15

Ry_ay

16

Ry_ayg

9

Ry_ayu

24

sd_pH

3

sd2_wt

1

tau_beta0_pH

5

tau_beta1_pH

5

tau_beta2_pH

2

tau_beta5_black_kod

1

tau_pH

3

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.140 0.068 -0.262 -0.146 0.001
mu_bc_H[2] -0.115 0.035 -0.179 -0.117 -0.039
mu_bc_H[3] -0.395 0.073 -0.540 -0.395 -0.252
mu_bc_H[4] -1.152 0.225 -1.624 -1.143 -0.746
mu_bc_H[5] 1.157 1.167 -0.137 0.876 4.214
mu_bc_H[6] -2.290 0.339 -2.931 -2.303 -1.592
mu_bc_H[7] -0.467 0.104 -0.678 -0.463 -0.268
mu_bc_H[8] 0.126 0.324 -0.435 0.107 0.811
mu_bc_H[9] -0.399 0.136 -0.675 -0.397 -0.135
mu_bc_H[10] -0.121 0.064 -0.244 -0.124 0.016
mu_bc_H[11] -0.117 0.038 -0.192 -0.116 -0.042
mu_bc_H[12] -0.248 0.114 -0.493 -0.241 -0.048
mu_bc_H[13] -0.172 0.073 -0.312 -0.173 -0.022
mu_bc_H[14] -0.359 0.103 -0.573 -0.354 -0.172
mu_bc_H[15] -0.340 0.046 -0.426 -0.342 -0.244
mu_bc_H[16] -0.238 0.366 -0.891 -0.260 0.573
mu_bc_R[1] 1.635 0.184 1.269 1.638 1.998
mu_bc_R[2] 1.610 0.092 1.430 1.610 1.783
mu_bc_R[3] 1.366 0.148 1.074 1.368 1.657
mu_bc_R[4] 1.095 0.185 0.723 1.094 1.448
mu_bc_R[5] 1.412 0.802 -0.250 1.436 2.953
mu_bc_R[6] -2.030 0.721 -3.517 -2.027 -0.639
mu_bc_R[7] 0.298 0.200 -0.103 0.298 0.685
mu_bc_R[8] 0.521 0.229 0.062 0.520 0.961
mu_bc_R[9] 0.629 0.265 0.073 0.639 1.128
mu_bc_R[10] 1.569 0.163 1.244 1.571 1.892
mu_bc_R[11] 0.983 0.131 0.722 0.979 1.246
mu_bc_R[12] 0.960 0.276 0.444 0.949 1.535
mu_bc_R[13] 1.136 0.164 0.817 1.132 1.467
mu_bc_R[14] 1.185 0.221 0.728 1.186 1.619
mu_bc_R[15] 0.692 0.178 0.339 0.693 1.055
mu_bc_R[16] 1.120 0.160 0.807 1.123 1.431
tau_pH[1] 2.281 0.362 1.642 2.359 2.876
tau_pH[2] 0.769 0.091 0.609 0.764 0.961
tau_pH[3] 0.978 0.132 0.741 0.974 1.248
tau_pH[4] 0.732 0.115 0.538 0.723 0.979
tau_pH[5] 0.531 0.103 0.350 0.524 0.748
beta0_pH[1,1] -0.724 1.526 -3.912 0.142 0.666
beta0_pH[2,1] 0.604 0.260 0.050 0.611 1.093
beta0_pH[3,1] 0.741 0.460 -0.125 0.722 1.558
beta0_pH[4,1] 0.639 0.545 -0.371 0.630 1.536
beta0_pH[5,1] -1.694 1.406 -5.951 -1.366 -0.268
beta0_pH[6,1] -0.792 0.612 -2.242 -0.668 0.115
beta0_pH[7,1] 0.730 0.024 0.671 0.733 0.768
beta0_pH[8,1] -1.382 0.516 -2.739 -1.273 -0.605
beta0_pH[9,1] -1.139 0.636 -2.394 -0.987 -0.173
beta0_pH[10,1] -0.473 0.406 -1.258 -0.487 0.175
beta0_pH[11,1] -0.176 0.753 -1.433 -0.122 1.195
beta0_pH[12,1] 0.509 0.274 -0.060 0.544 0.987
beta0_pH[13,1] -1.686 0.498 -2.822 -1.601 -0.907
beta0_pH[14,1] -1.750 0.853 -4.010 -1.500 -0.729
beta0_pH[15,1] -0.673 0.468 -1.573 -0.659 0.142
beta0_pH[16,1] -1.694 0.569 -2.862 -1.582 -0.864
beta0_pH[1,2] 2.614 0.091 2.437 2.611 2.799
beta0_pH[2,2] 3.082 0.022 3.038 3.081 3.126
beta0_pH[3,2] 3.562 0.040 3.484 3.561 3.641
beta0_pH[4,2] 2.935 0.019 2.900 2.935 2.974
beta0_pH[5,2] 4.088 1.417 2.087 3.848 7.642
beta0_pH[6,2] 3.346 0.171 3.031 3.340 3.691
beta0_pH[7,2] 2.037 0.050 1.942 2.037 2.139
beta0_pH[8,2] 2.775 0.065 2.648 2.774 2.905
beta0_pH[9,2] 3.867 0.240 3.442 3.851 4.392
beta0_pH[10,2] 4.047 0.143 3.780 4.043 4.352
beta0_pH[11,2] 1.885 0.009 1.867 1.885 1.903
beta0_pH[12,2] 1.797 0.086 1.617 1.799 1.958
beta0_pH[13,2] 2.496 0.026 2.447 2.495 2.549
beta0_pH[14,2] 1.782 0.036 1.700 1.785 1.845
beta0_pH[15,2] 2.545 0.017 2.513 2.545 2.578
beta0_pH[16,2] 2.750 0.025 2.702 2.750 2.797
beta0_pH[1,3] 0.924 0.634 -0.880 1.100 1.699
beta0_pH[2,3] 2.127 0.018 2.092 2.127 2.163
beta0_pH[3,3] 2.691 0.024 2.646 2.691 2.738
beta0_pH[4,3] 2.980 0.033 2.917 2.980 3.044
beta0_pH[5,3] 0.690 0.700 -0.638 0.710 1.956
beta0_pH[6,3] 0.953 0.386 0.215 0.964 1.707
beta0_pH[7,3] 0.811 0.078 0.638 0.820 0.941
beta0_pH[8,3] 0.327 0.272 -0.333 0.392 0.694
beta0_pH[9,3] 1.315 0.141 1.042 1.313 1.593
beta0_pH[10,3] 2.070 0.116 1.776 2.084 2.259
beta0_pH[11,3] 1.401 1.079 -0.640 1.260 2.897
beta0_pH[12,3] 1.592 1.609 -1.187 1.161 3.888
beta0_pH[13,3] 1.379 1.040 -0.421 1.157 2.818
beta0_pH[14,3] -0.169 0.853 -2.270 -0.033 1.092
beta0_pH[15,3] 0.313 0.666 -0.926 0.328 1.665
beta0_pH[16,3] 1.951 1.615 -0.475 1.387 4.327
beta0_pH[11,4] 1.432 0.767 -0.265 1.460 2.421
beta0_pH[12,4] 0.911 0.872 -1.061 1.003 2.486
beta0_pH[13,4] 1.046 0.711 -0.435 1.303 1.826
beta0_pH[14,4] 0.078 0.985 -2.204 0.126 1.859
beta0_pH[15,4] 1.010 0.817 -0.962 1.409 1.782
beta0_pH[16,4] 1.380 0.970 -0.295 1.303 2.855
beta0_pH[11,5] 2.924 0.141 2.663 2.921 3.219
beta0_pH[12,5] -0.350 1.766 -5.144 -0.042 2.188
beta0_pH[13,5] 5.158 0.450 4.343 5.135 6.088
beta0_pH[14,5] 3.621 0.336 3.012 3.606 4.308
beta0_pH[15,5] 2.365 0.129 2.122 2.362 2.632
beta0_pH[16,5] 0.503 0.200 0.170 0.489 0.937
beta1_pH[1,1] 5.332 3.047 2.227 3.760 11.197
beta1_pH[2,1] 3.313 0.817 2.017 3.175 5.263
beta1_pH[3,1] 3.167 0.963 1.558 3.025 5.456
beta1_pH[4,1] 3.322 0.864 1.878 3.175 4.895
beta1_pH[5,1] 3.463 1.435 1.949 3.151 7.739
beta1_pH[6,1] 3.261 1.382 1.353 3.038 6.844
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.686 0.680 1.673 2.563 4.206
beta1_pH[9,1] 2.919 0.729 1.648 2.820 4.533
beta1_pH[10,1] 2.948 0.518 2.026 2.995 3.872
beta1_pH[11,1] 3.111 1.364 0.829 3.321 5.201
beta1_pH[12,1] 2.990 0.377 2.283 2.961 3.752
beta1_pH[13,1] 4.498 0.562 3.585 4.413 5.741
beta1_pH[14,1] 4.552 0.884 3.494 4.313 7.169
beta1_pH[15,1] 3.157 0.547 2.220 3.194 4.170
beta1_pH[16,1] 4.768 0.655 3.810 4.648 6.112
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 1.978 1.605 0.028 1.653 7.201
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 0.787 1.520 0.000 0.000 4.625
beta1_pH[9,3] 0.000 0.001 0.000 0.000 0.003
beta1_pH[10,3] 0.047 0.122 0.000 0.000 0.430
beta1_pH[11,3] 1.799 1.264 0.000 2.038 4.015
beta1_pH[12,3] 2.346 1.765 0.000 2.887 5.322
beta1_pH[13,3] 1.582 1.166 0.022 1.898 3.487
beta1_pH[14,3] 2.929 0.873 1.564 2.821 5.015
beta1_pH[15,3] 2.469 0.700 0.995 2.481 3.783
beta1_pH[16,3] 2.430 1.820 0.000 3.083 5.129
beta1_pH[11,4] 1.381 0.967 0.002 1.382 3.363
beta1_pH[12,4] 2.543 0.959 0.683 2.477 4.718
beta1_pH[13,4] 0.815 0.777 0.000 0.563 2.428
beta1_pH[14,4] 2.197 1.073 0.060 2.189 4.627
beta1_pH[15,4] 0.861 0.917 0.000 0.463 3.037
beta1_pH[16,4] 1.610 1.102 0.001 1.738 3.514
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 0.380 0.339 0.066 0.284 1.239
beta2_pH[2,1] 0.255 0.146 0.098 0.209 0.645
beta2_pH[3,1] 0.277 0.250 0.076 0.207 0.928
beta2_pH[4,1] 0.323 0.275 0.122 0.240 1.080
beta2_pH[5,1] 1.991 1.886 0.292 1.386 7.200
beta2_pH[6,1] 0.702 1.305 0.068 0.235 4.669
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 1.110 1.691 0.176 0.422 6.344
beta2_pH[9,1] 0.648 0.929 0.140 0.349 3.283
beta2_pH[10,1] 0.961 1.372 0.269 0.569 6.103
beta2_pH[11,1] -0.646 1.784 -5.074 0.272 0.897
beta2_pH[12,1] 1.514 0.913 0.532 1.141 3.736
beta2_pH[13,1] 0.996 0.604 0.482 0.787 2.915
beta2_pH[14,1] 1.151 0.789 0.399 0.857 3.513
beta2_pH[15,1] 0.847 0.644 0.319 0.658 3.225
beta2_pH[16,1] 0.950 0.242 0.600 0.911 1.559
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 6.553 6.725 -1.077 5.004 21.942
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 2.632 9.935 -18.006 3.434 19.230
beta2_pH[9,3] 2.391 10.063 -18.254 3.141 19.315
beta2_pH[10,3] 2.477 9.937 -17.969 3.261 19.288
beta2_pH[11,3] -6.426 5.122 -20.004 -5.037 -0.485
beta2_pH[12,3] -7.085 4.866 -20.180 -6.010 -0.968
beta2_pH[13,3] -6.599 5.095 -20.082 -5.144 -0.902
beta2_pH[14,3] -6.732 4.895 -20.246 -5.262 -1.292
beta2_pH[15,3] -6.824 4.895 -20.127 -5.444 -1.055
beta2_pH[16,3] -6.798 4.797 -19.842 -5.476 -1.266
beta2_pH[11,4] -7.049 5.675 -21.516 -5.612 -0.185
beta2_pH[12,4] -7.321 5.444 -21.224 -5.924 -0.941
beta2_pH[13,4] -7.420 5.482 -21.123 -6.219 -0.396
beta2_pH[14,4] -7.438 5.395 -20.991 -5.988 -1.060
beta2_pH[15,4] -7.164 5.485 -21.076 -5.740 -0.319
beta2_pH[16,4] -7.795 5.308 -21.091 -6.999 -0.451
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 35.191 1.707 31.776 35.123 38.724
beta3_pH[2,1] 33.116 3.303 28.299 32.404 42.134
beta3_pH[3,1] 33.339 3.134 27.377 33.054 40.580
beta3_pH[4,1] 31.045 2.450 26.654 31.003 36.106
beta3_pH[5,1] 27.104 1.072 24.501 27.260 28.769
beta3_pH[6,1] 35.875 3.940 27.996 35.412 42.579
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 32.515 1.861 29.650 32.106 36.541
beta3_pH[9,1] 29.705 2.919 25.655 29.031 36.547
beta3_pH[10,1] 31.166 1.171 29.280 31.137 33.813
beta3_pH[11,1] 34.581 5.870 29.081 31.102 42.986
beta3_pH[12,1] 30.573 0.551 29.427 30.622 31.526
beta3_pH[13,1] 30.666 0.613 29.584 30.632 31.971
beta3_pH[14,1] 31.129 0.642 29.596 31.167 32.295
beta3_pH[15,1] 30.142 0.821 29.040 29.975 31.947
beta3_pH[16,1] 29.488 0.322 29.022 29.450 30.164
beta3_pH[1,2] 34.020 5.176 25.454 34.125 42.597
beta3_pH[2,2] 33.970 5.224 25.374 33.838 42.583
beta3_pH[3,2] 30.398 7.264 18.608 30.262 42.365
beta3_pH[4,2] 30.496 7.261 18.640 30.293 42.424
beta3_pH[5,2] 30.606 7.169 18.787 30.401 42.357
beta3_pH[6,2] 30.493 7.224 18.647 30.515 42.415
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 37.205 3.896 27.746 38.519 42.626
beta3_pH[2,3] 33.964 5.246 25.427 33.990 42.561
beta3_pH[3,3] 30.323 7.349 18.575 30.429 42.409
beta3_pH[4,3] 30.525 7.224 18.554 30.524 42.282
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 36.789 4.587 28.499 37.671 42.487
beta3_pH[9,3] 35.475 4.341 28.423 35.465 42.636
beta3_pH[10,3] 35.535 4.131 28.482 35.649 42.574
beta3_pH[11,3] 39.688 3.252 30.057 40.782 42.884
beta3_pH[12,3] 40.229 3.454 30.265 42.049 42.853
beta3_pH[13,3] 40.163 2.999 30.703 41.205 42.860
beta3_pH[14,3] 40.738 0.642 39.304 40.863 41.817
beta3_pH[15,3] 40.718 0.818 38.821 40.819 41.936
beta3_pH[16,3] 40.115 3.641 30.018 41.892 42.790
beta3_pH[11,4] 38.821 3.470 29.618 40.002 42.692
beta3_pH[12,4] 40.784 1.190 38.846 40.884 42.502
beta3_pH[13,4] 39.806 3.528 30.018 41.189 42.909
beta3_pH[14,4] 40.348 1.635 35.203 40.688 41.909
beta3_pH[15,4] 39.374 3.367 30.296 40.855 42.732
beta3_pH[16,4] 40.213 3.326 30.158 41.506 42.750
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.284 0.024 0.237 0.284 0.330
beta4_pH[2,1] 0.200 0.007 0.187 0.200 0.213
beta4_pH[3,1] 0.152 0.009 0.134 0.152 0.169
beta4_pH[4,1] 0.290 0.012 0.265 0.290 0.314
beta4_pH[5,1] 0.843 1.244 0.114 0.601 2.922
beta4_pH[6,1] 0.974 1.165 0.185 0.752 3.003
beta4_pH[7,1] 0.834 0.347 0.338 0.776 1.650
beta4_pH[8,1] 0.185 0.083 0.050 0.177 0.367
beta4_pH[9,1] 0.273 0.098 0.092 0.270 0.472
beta4_pH[10,1] 0.004 0.003 0.001 0.004 0.011
beta4_pH[11,1] 0.465 0.032 0.424 0.453 0.527
beta4_pH[12,1] 0.611 0.024 0.565 0.610 0.658
beta4_pH[13,1] 0.618 0.016 0.588 0.618 0.649
beta4_pH[14,1] 0.685 0.040 0.613 0.683 0.771
beta4_pH[15,1] 0.799 0.022 0.759 0.798 0.842
beta4_pH[16,1] 1.077 0.045 0.990 1.075 1.167
beta4_pH[1,2] 0.342 0.107 0.150 0.338 0.571
beta4_pH[2,2] 0.514 0.024 0.469 0.514 0.560
beta4_pH[3,2] 0.242 0.022 0.199 0.242 0.287
beta4_pH[4,2] 0.660 0.039 0.584 0.660 0.740
beta4_pH[5,2] 0.833 0.963 0.122 0.607 2.859
beta4_pH[6,2] 1.027 1.435 0.185 0.758 3.267
beta4_pH[7,2] 0.886 0.428 0.353 0.807 1.912
beta4_pH[8,2] 0.914 0.246 0.476 0.896 1.446
beta4_pH[9,2] 1.093 1.207 0.302 0.842 3.389
beta4_pH[10,2] 0.486 0.057 0.377 0.485 0.601
beta4_pH[11,2] 1.314 0.056 1.206 1.313 1.422
beta4_pH[12,2] 0.589 0.122 0.373 0.579 0.849
beta4_pH[13,2] 0.972 0.049 0.878 0.971 1.071
beta4_pH[14,2] 0.994 0.081 0.838 0.992 1.157
beta4_pH[15,2] 1.030 0.027 0.979 1.030 1.084
beta4_pH[16,2] 1.407 0.115 1.188 1.405 1.640
beta4_pH[1,3] 0.303 0.091 0.137 0.298 0.493
beta4_pH[2,3] 0.044 0.018 0.013 0.043 0.083
beta4_pH[3,3] 0.006 0.004 0.001 0.005 0.015
beta4_pH[4,3] 0.144 0.038 0.071 0.144 0.218
beta4_pH[5,3] 0.837 1.131 0.118 0.600 2.979
beta4_pH[6,3] 1.002 1.207 0.203 0.772 3.095
beta4_pH[7,3] 0.880 0.416 0.331 0.811 1.898
beta4_pH[8,3] 0.510 0.246 0.143 0.468 1.102
beta4_pH[9,3] 0.993 1.794 0.176 0.695 3.444
beta4_pH[10,3] 0.096 0.056 0.010 0.089 0.220
beta4_pH[11,3] 0.343 0.025 0.287 0.345 0.386
beta4_pH[12,3] 0.428 0.047 0.343 0.426 0.521
beta4_pH[13,3] 0.826 0.038 0.755 0.826 0.902
beta4_pH[14,3] 0.838 0.079 0.691 0.835 1.002
beta4_pH[15,3] 0.662 0.039 0.605 0.654 0.749
beta4_pH[16,3] 0.589 0.054 0.487 0.588 0.698
beta4_pH[1,4] 0.651 0.396 0.231 0.583 1.438
beta4_pH[2,4] 0.846 0.947 0.108 0.581 3.034
beta4_pH[3,4] 1.672 7.296 0.030 0.506 9.377
beta4_pH[4,4] 0.746 0.529 0.189 0.619 2.157
beta4_pH[5,4] 0.805 0.956 0.121 0.602 2.775
beta4_pH[6,4] 1.110 5.670 0.198 0.753 3.298
beta4_pH[7,4] 0.888 0.446 0.345 0.804 1.883
beta4_pH[8,4] 0.757 0.673 0.172 0.615 2.084
beta4_pH[9,4] 0.751 0.744 0.134 0.577 2.396
beta4_pH[10,4] 1.748 12.697 0.019 0.433 9.170
beta4_pH[11,4] 0.442 0.018 0.407 0.442 0.477
beta4_pH[12,4] 0.645 0.067 0.522 0.642 0.783
beta4_pH[13,4] 0.974 0.043 0.886 0.976 1.055
beta4_pH[14,4] 0.941 0.091 0.773 0.939 1.129
beta4_pH[15,4] 0.616 0.030 0.558 0.616 0.677
beta4_pH[16,4] 0.699 0.077 0.556 0.697 0.861
beta4_pH[1,5] 0.638 0.302 0.224 0.584 1.367
beta4_pH[2,5] 0.904 2.703 0.105 0.597 2.947
beta4_pH[3,5] 1.485 5.336 0.031 0.481 8.535
beta4_pH[4,5] 0.755 0.516 0.194 0.632 2.123
beta4_pH[5,5] 0.888 2.581 0.125 0.612 2.865
beta4_pH[6,5] 0.992 1.143 0.182 0.748 3.204
beta4_pH[7,5] 0.887 0.435 0.345 0.817 1.807
beta4_pH[8,5] 0.751 0.578 0.170 0.616 2.239
beta4_pH[9,5] 0.753 0.784 0.133 0.566 2.420
beta4_pH[10,5] 1.615 6.330 0.020 0.457 9.737
beta4_pH[11,5] 0.572 0.059 0.452 0.573 0.685
beta4_pH[12,5] 0.583 0.178 0.285 0.566 0.986
beta4_pH[13,5] 0.743 0.061 0.633 0.741 0.874
beta4_pH[14,5] 0.859 0.123 0.638 0.852 1.119
beta4_pH[15,5] 1.104 0.070 0.969 1.101 1.247
beta4_pH[16,5] 10.163 6.936 4.001 8.631 26.020
beta0_pelagic[1] 2.270 0.036 2.205 2.268 2.345
beta0_pelagic[2] 1.538 0.007 1.525 1.538 1.552
beta0_pelagic[3] 0.230 0.226 -0.303 0.275 0.589
beta0_pelagic[4] 0.268 0.164 -0.033 0.263 0.650
beta0_pelagic[5] 1.892 0.158 1.603 1.886 2.220
beta0_pelagic[6] 1.538 0.063 1.421 1.536 1.660
beta0_pelagic[7] 1.462 0.037 1.394 1.460 1.535
beta0_pelagic[8] 1.858 0.049 1.769 1.855 1.963
beta0_pelagic[9] 2.815 0.093 2.650 2.811 3.006
beta0_pelagic[10] 2.605 0.032 2.547 2.603 2.674
beta0_pelagic[11] -0.071 0.142 -0.438 -0.067 0.234
beta0_pelagic[12] 1.797 0.035 1.732 1.796 1.870
beta0_pelagic[13] -0.053 0.274 -0.626 -0.015 0.374
beta0_pelagic[14] 0.109 0.119 -0.136 0.111 0.328
beta0_pelagic[15] -0.209 0.038 -0.308 -0.195 -0.169
beta0_pelagic[16] -0.243 0.335 -1.282 -0.168 0.144
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.693 0.220 0.286 0.684 1.170
beta1_pelagic[4] 0.773 0.182 0.388 0.784 1.109
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.138 0.189 0.801 1.144 1.494
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 1.970 0.733 0.696 1.967 3.356
beta1_pelagic[14] 1.317 0.311 0.776 1.302 1.987
beta1_pelagic[15] 0.138 0.204 0.011 0.046 0.748
beta1_pelagic[16] 1.465 0.619 0.649 1.324 2.974
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 7.375 5.983 0.448 5.882 21.829
beta2_pelagic[4] 7.936 6.023 0.584 6.605 22.403
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.683 1.589 0.292 1.023 5.971
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.524 0.895 0.104 0.241 3.297
beta2_pelagic[14] 1.406 1.370 0.280 0.890 5.374
beta2_pelagic[15] 2.583 1.893 0.129 2.226 7.068
beta2_pelagic[16] 0.890 1.176 0.119 0.406 4.638
beta3_pelagic[1] 29.546 6.567 18.612 29.436 40.480
beta3_pelagic[2] 29.355 6.658 18.565 29.214 40.322
beta3_pelagic[3] 27.693 2.890 22.711 28.377 31.752
beta3_pelagic[4] 26.195 1.445 23.324 26.301 29.654
beta3_pelagic[5] 29.477 6.645 18.580 29.305 40.325
beta3_pelagic[6] 29.627 6.673 18.670 29.599 40.494
beta3_pelagic[7] 29.351 6.566 18.529 29.372 40.426
beta3_pelagic[8] 29.642 6.697 18.590 29.933 40.391
beta3_pelagic[9] 29.440 6.751 18.620 29.365 40.380
beta3_pelagic[10] 29.667 6.693 18.634 29.603 40.445
beta3_pelagic[11] 30.525 1.507 27.878 30.521 33.633
beta3_pelagic[12] 29.552 6.613 18.667 29.635 40.300
beta3_pelagic[13] 36.777 2.892 30.204 36.757 40.871
beta3_pelagic[14] 35.100 1.527 32.302 34.972 38.219
beta3_pelagic[15] 31.849 7.249 18.761 32.752 40.855
beta3_pelagic[16] 32.921 2.586 28.672 32.476 38.875
beta0_yellow[1] -0.476 0.080 -0.639 -0.476 -0.320
beta0_yellow[2] 0.541 0.087 0.356 0.551 0.678
beta0_yellow[3] -0.203 0.131 -0.473 -0.198 0.015
beta0_yellow[4] 0.870 0.308 -0.044 0.965 1.197
beta0_yellow[5] -0.094 0.376 -0.862 -0.090 0.596
beta0_yellow[6] 0.755 0.127 0.512 0.758 0.992
beta0_yellow[7] 1.103 0.100 0.899 1.101 1.301
beta0_yellow[8] 0.943 0.110 0.714 0.945 1.155
beta0_yellow[9] 0.387 0.136 0.115 0.386 0.648
beta0_yellow[10] 0.557 0.074 0.417 0.555 0.703
beta0_yellow[11] 0.032 0.110 -0.225 0.041 0.221
beta0_yellow[12] -1.176 0.172 -1.524 -1.149 -0.950
beta0_yellow[13] -1.278 0.246 -2.065 -1.228 -0.958
beta0_yellow[14] -0.257 0.128 -0.540 -0.245 -0.034
beta0_yellow[15] -1.035 0.117 -1.287 -1.034 -0.801
beta0_yellow[16] -0.318 0.090 -0.531 -0.297 -0.188
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.016 0.255 0.596 1.000 1.510
beta1_yellow[3] 0.448 0.238 0.019 0.454 0.929
beta1_yellow[4] 1.372 0.697 0.618 1.175 3.526
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 1.987 0.305 1.488 1.956 2.789
beta1_yellow[12] 0.243 0.451 0.011 0.087 1.385
beta1_yellow[13] 2.682 0.620 1.690 2.599 4.109
beta1_yellow[14] 2.769 0.617 1.822 2.669 4.199
beta1_yellow[15] 0.755 0.308 0.069 0.747 1.433
beta1_yellow[16] 0.189 0.183 0.011 0.121 0.631
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -7.884 5.918 -22.466 -6.515 -0.424
beta2_yellow[3] -6.668 5.156 -19.751 -5.542 -0.347
beta2_yellow[4] -5.649 5.791 -19.931 -3.867 -0.128
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -3.378 3.946 -15.484 -1.954 -0.468
beta2_yellow[12] -7.998 5.982 -22.237 -6.888 -0.253
beta2_yellow[13] -0.997 1.945 -6.469 -0.522 -0.195
beta2_yellow[14] -4.501 4.315 -14.852 -2.589 -0.486
beta2_yellow[15] -4.732 5.491 -19.247 -1.762 -0.282
beta2_yellow[16] -7.730 5.931 -22.417 -6.548 -0.297
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 28.875 1.124 27.293 28.685 32.121
beta3_yellow[3] 32.465 3.549 22.795 32.676 39.708
beta3_yellow[4] 29.964 3.407 24.524 28.510 35.936
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 30.085 0.647 28.985 30.006 31.472
beta3_yellow[12] 35.156 4.145 28.444 34.886 42.538
beta3_yellow[13] 30.004 1.084 28.183 29.936 32.505
beta3_yellow[14] 29.261 0.472 28.286 29.197 30.200
beta3_yellow[15] 31.071 2.272 28.164 30.600 36.245
beta3_yellow[16] 33.183 3.404 28.305 32.371 41.481
beta0_black[1] 0.012 0.076 -0.135 0.010 0.162
beta0_black[2] 1.855 0.032 1.793 1.855 1.918
beta0_black[3] 1.238 0.037 1.165 1.237 1.311
beta0_black[4] 2.423 0.048 2.330 2.422 2.521
beta0_black[5] 5.178 2.393 1.795 4.754 11.051
beta0_black[6] 5.214 2.151 2.649 4.705 10.702
beta0_black[7] 4.110 2.126 1.650 3.555 9.999
beta0_black[8] 0.881 0.209 0.493 0.867 1.313
beta0_black[9] 2.803 0.269 2.272 2.802 3.335
beta0_black[10] 1.289 0.050 1.192 1.288 1.389
beta0_black[11] 2.978 0.052 2.876 2.978 3.084
beta0_black[12] 4.911 0.198 4.533 4.907 5.307
beta0_black[13] 0.435 0.335 0.015 0.363 1.232
beta0_black[14] 2.847 0.104 2.640 2.848 3.044
beta0_black[15] 0.723 0.051 0.620 0.723 0.823
beta0_black[16] 3.771 0.074 3.628 3.769 3.918
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.419 1.761 -6.791 -1.969 -0.273
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 37.441 3.413 27.495 38.211 41.337
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.326 0.092 -0.514 -0.327 -0.156
beta4_black[2] 0.258 0.053 0.158 0.258 0.364
beta4_black[3] -0.719 0.064 -0.841 -0.719 -0.594
beta4_black[4] 0.631 0.131 0.381 0.626 0.896
beta4_black[5] 0.784 1.508 -1.206 0.503 4.428
beta4_black[6] 0.926 1.562 -0.910 0.573 4.894
beta4_black[7] 0.807 1.378 -0.984 0.538 4.372
beta4_black[8] 0.088 0.280 -0.501 0.097 0.630
beta4_black[9] 1.062 0.841 -0.081 0.909 3.078
beta4_black[10] 0.072 0.067 -0.060 0.072 0.201
beta4_black[11] -0.609 0.067 -0.740 -0.610 -0.481
beta4_black[12] 1.231 0.293 0.675 1.222 1.818
beta4_black[13] -1.006 0.078 -1.171 -1.004 -0.860
beta4_black[14] 0.226 0.178 -0.126 0.221 0.587
beta4_black[15] 0.001 0.046 -0.091 0.001 0.091
beta4_black[16] -0.414 0.121 -0.641 -0.417 -0.165
beta0_dsr[11] -0.328 0.010 -0.348 -0.328 -0.310
beta0_dsr[12] 1.436 0.044 1.352 1.435 1.523
beta0_dsr[13] 0.173 0.021 0.133 0.173 0.215
beta0_dsr[14] -0.100 0.017 -0.131 -0.100 -0.066
beta0_dsr[15] 0.208 0.014 0.181 0.208 0.235
beta0_dsr[16] 0.156 0.017 0.121 0.156 0.189
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.540 0.036 0.470 0.541 0.608
beta4_dsr[12] 0.783 0.227 0.346 0.779 1.228
beta4_dsr[13] -0.097 0.040 -0.178 -0.096 -0.021
beta4_dsr[14] -0.236 0.072 -0.382 -0.236 -0.096
beta4_dsr[15] 0.213 0.022 0.171 0.213 0.254
beta4_dsr[16] -0.049 0.046 -0.139 -0.049 0.042
beta0_slope[11] -2.208 0.021 -2.251 -2.207 -2.166
beta0_slope[12] -5.693 0.334 -6.388 -5.678 -5.102
beta0_slope[13] -1.541 0.034 -1.608 -1.541 -1.474
beta0_slope[14] -2.699 0.049 -2.802 -2.697 -2.608
beta0_slope[15] -1.595 0.023 -1.640 -1.595 -1.551
beta0_slope[16] -2.581 0.047 -2.674 -2.580 -2.489
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.335 0.073 -0.484 -0.334 -0.198
beta4_slope[12] -4.657 0.795 -6.339 -4.605 -3.239
beta4_slope[13] 0.364 0.054 0.256 0.363 0.469
beta4_slope[14] -0.169 0.154 -0.476 -0.167 0.116
beta4_slope[15] -0.358 0.033 -0.422 -0.358 -0.294
beta4_slope[16] -0.212 0.103 -0.418 -0.211 -0.014
beta5_slope[11] 3.074 0.106 2.874 3.072 3.288
beta5_slope[12] 1.996 0.384 1.284 1.982 2.771
beta5_slope[13] 0.859 0.080 0.701 0.860 1.018
beta5_slope[14] 3.769 0.354 3.100 3.753 4.497
beta5_slope[15] 1.343 0.074 1.201 1.343 1.488
beta5_slope[16] 2.761 0.230 2.341 2.754 3.240
tau_comp[1] 3.723 0.303 3.174 3.714 4.336
tau_comp[2] 2.735 0.237 2.287 2.728 3.212
tau_comp[3] 0.873 0.075 0.735 0.870 1.033
tau_comp[4] 1.447 0.225 1.072 1.429 1.942
tau_comp[5] 1.260 0.193 0.919 1.248 1.680
sigma_H[1] 0.184 0.057 0.078 0.182 0.303
sigma_H[2] 0.172 0.030 0.121 0.170 0.235
sigma_H[3] 0.198 0.043 0.123 0.196 0.292
sigma_H[4] 0.397 0.080 0.258 0.387 0.572
sigma_H[5] 1.030 0.232 0.605 1.019 1.513
sigma_H[6] 0.256 0.192 0.006 0.227 0.701
sigma_H[7] 0.276 0.049 0.198 0.271 0.384
sigma_H[8] 0.379 0.071 0.271 0.369 0.533
sigma_H[9] 0.401 0.073 0.283 0.393 0.560
sigma_H[10] 0.224 0.043 0.149 0.219 0.320
sigma_H[11] 0.265 0.045 0.191 0.261 0.366
sigma_H[12] 0.399 0.155 0.200 0.359 0.738
sigma_H[13] 0.202 0.035 0.140 0.200 0.281
sigma_H[14] 0.461 0.094 0.299 0.452 0.660
sigma_H[15] 0.241 0.038 0.177 0.238 0.325
sigma_H[16] 0.221 0.042 0.153 0.216 0.314
lambda_H[1] 2.597 4.147 0.075 1.147 13.842
lambda_H[2] 8.563 8.571 0.851 6.143 28.806
lambda_H[3] 4.651 6.770 0.218 2.363 23.840
lambda_H[4] 0.008 0.006 0.001 0.006 0.023
lambda_H[5] 1.777 5.384 0.008 0.286 14.484
lambda_H[6] 9.803 16.554 0.023 3.095 53.901
lambda_H[7] 0.015 0.010 0.003 0.012 0.041
lambda_H[8] 7.715 9.747 0.177 4.316 38.318
lambda_H[9] 0.017 0.012 0.003 0.014 0.049
lambda_H[10] 0.316 0.545 0.029 0.186 1.412
lambda_H[11] 0.225 0.342 0.009 0.095 1.153
lambda_H[12] 4.370 5.544 0.207 2.541 17.999
lambda_H[13] 3.517 3.223 0.272 2.560 12.402
lambda_H[14] 3.211 3.767 0.251 2.081 13.768
lambda_H[15] 0.021 0.028 0.003 0.014 0.074
lambda_H[16] 0.730 1.242 0.030 0.321 3.836
mu_lambda_H[1] 4.215 1.888 1.098 4.040 8.286
mu_lambda_H[2] 3.861 1.924 0.620 3.760 7.923
mu_lambda_H[3] 3.462 1.843 0.743 3.151 7.787
sigma_lambda_H[1] 8.384 4.317 1.900 7.760 18.146
sigma_lambda_H[2] 8.439 4.691 0.979 7.974 18.169
sigma_lambda_H[3] 6.245 3.922 0.993 5.486 16.104
beta_H[1,1] 6.591 1.328 3.294 6.826 8.518
beta_H[2,1] 9.850 0.485 8.816 9.881 10.742
beta_H[3,1] 7.894 0.847 5.930 7.985 9.294
beta_H[4,1] 13.429 7.879 -0.834 13.209 30.387
beta_H[5,1] -0.311 3.362 -7.059 -0.251 6.336
beta_H[6,1] 4.574 2.717 -2.532 5.230 7.820
beta_H[7,1] 2.649 5.248 -8.197 2.717 12.187
beta_H[8,1] 1.156 2.428 -2.372 1.265 3.331
beta_H[9,1] 14.764 5.772 4.212 14.450 27.390
beta_H[10,1] 7.106 1.737 3.500 7.147 10.610
beta_H[11,1] 4.596 3.652 -3.360 5.088 9.877
beta_H[12,1] 2.536 1.042 0.692 2.489 4.678
beta_H[13,1] 9.025 0.817 7.151 9.078 10.418
beta_H[14,1] 2.151 1.002 0.201 2.159 4.200
beta_H[15,1] -6.914 3.554 -13.287 -7.031 0.614
beta_H[16,1] 3.902 3.043 -0.830 3.490 11.272
beta_H[1,2] 7.906 0.259 7.391 7.905 8.399
beta_H[2,2] 10.035 0.127 9.782 10.034 10.288
beta_H[3,2] 8.906 0.206 8.481 8.909 9.306
beta_H[4,2] 2.039 1.546 -1.067 2.080 4.930
beta_H[5,2] 1.772 1.169 -0.471 1.777 4.024
beta_H[6,2] 6.208 0.856 4.285 6.268 7.663
beta_H[7,2] 1.926 0.984 0.166 1.879 3.979
beta_H[8,2] 3.145 0.833 1.607 3.232 4.322
beta_H[9,2] 2.655 1.073 0.482 2.668 4.744
beta_H[10,2] 8.163 0.354 7.426 8.179 8.842
beta_H[11,2] 9.866 0.659 8.850 9.788 11.264
beta_H[12,2] 3.924 0.360 3.238 3.921 4.649
beta_H[13,2] 9.141 0.230 8.690 9.143 9.596
beta_H[14,2] 4.073 0.337 3.434 4.063 4.752
beta_H[15,2] 11.541 0.645 10.186 11.564 12.736
beta_H[16,2] 4.589 0.814 3.055 4.570 6.204
beta_H[1,3] 8.573 0.268 8.091 8.564 9.120
beta_H[2,3] 10.112 0.109 9.903 10.111 10.339
beta_H[3,3] 9.615 0.176 9.284 9.614 9.987
beta_H[4,3] -0.602 1.194 -2.829 -0.672 1.939
beta_H[5,3] 4.217 0.778 2.649 4.198 5.819
beta_H[6,3] 7.536 0.817 6.290 7.411 9.637
beta_H[7,3] -2.026 0.636 -3.277 -2.014 -0.829
beta_H[8,3] 5.372 0.405 4.823 5.334 6.135
beta_H[9,3] -1.664 0.707 -3.020 -1.671 -0.243
beta_H[10,3] 8.784 0.280 8.253 8.782 9.355
beta_H[11,3] 8.462 0.293 7.827 8.484 8.978
beta_H[12,3] 5.349 0.309 4.630 5.381 5.886
beta_H[13,3] 8.949 0.174 8.617 8.947 9.306
beta_H[14,3] 5.862 0.277 5.254 5.883 6.346
beta_H[15,3] 10.275 0.304 9.692 10.270 10.907
beta_H[16,3] 6.123 0.772 4.466 6.213 7.402
beta_H[1,4] 8.263 0.182 7.873 8.279 8.593
beta_H[2,4] 10.186 0.110 9.955 10.194 10.386
beta_H[3,4] 10.096 0.176 9.729 10.107 10.406
beta_H[4,4] 11.599 0.452 10.736 11.591 12.499
beta_H[5,4] 6.191 1.023 4.609 6.055 8.533
beta_H[6,4] 7.586 0.596 6.066 7.711 8.454
beta_H[7,4] 8.399 0.317 7.782 8.403 9.002
beta_H[8,4] 6.913 0.203 6.538 6.915 7.293
beta_H[9,4] 7.635 0.375 6.929 7.627 8.388
beta_H[10,4] 7.829 0.251 7.373 7.818 8.378
beta_H[11,4] 9.500 0.194 9.122 9.500 9.880
beta_H[12,4] 7.229 0.200 6.831 7.229 7.631
beta_H[13,4] 9.084 0.136 8.801 9.092 9.334
beta_H[14,4] 7.929 0.211 7.515 7.927 8.352
beta_H[15,4] 9.509 0.225 9.086 9.507 9.946
beta_H[16,4] 9.449 0.272 8.975 9.427 9.998
beta_H[1,5] 9.070 0.154 8.754 9.073 9.371
beta_H[2,5] 10.842 0.091 10.670 10.838 11.026
beta_H[3,5] 10.937 0.177 10.615 10.930 11.295
beta_H[4,5] 8.520 0.437 7.683 8.513 9.387
beta_H[5,5] 4.895 0.919 2.664 5.078 6.255
beta_H[6,5] 8.657 0.416 8.012 8.582 9.674
beta_H[7,5] 6.609 0.309 6.018 6.605 7.242
beta_H[8,5] 8.337 0.179 8.018 8.330 8.701
beta_H[9,5] 8.063 0.378 7.320 8.063 8.792
beta_H[10,5] 10.142 0.247 9.645 10.145 10.621
beta_H[11,5] 11.588 0.230 11.121 11.589 12.033
beta_H[12,5] 8.555 0.193 8.171 8.560 8.924
beta_H[13,5] 10.092 0.124 9.847 10.089 10.337
beta_H[14,5] 9.283 0.206 8.892 9.279 9.694
beta_H[15,5] 11.254 0.235 10.767 11.253 11.716
beta_H[16,5] 9.859 0.190 9.449 9.870 10.207
beta_H[1,6] 10.235 0.242 9.856 10.199 10.815
beta_H[2,6] 11.528 0.108 11.316 11.530 11.744
beta_H[3,6] 10.724 0.160 10.395 10.731 11.018
beta_H[4,6] 12.914 0.773 11.388 12.924 14.414
beta_H[5,6] 5.959 0.940 4.585 5.823 8.427
beta_H[6,6] 8.730 0.388 7.881 8.750 9.470
beta_H[7,6] 10.468 0.534 9.405 10.474 11.492
beta_H[8,6] 9.568 0.229 9.141 9.576 9.983
beta_H[9,6] 8.485 0.642 7.273 8.482 9.780
beta_H[10,6] 9.421 0.344 8.675 9.455 10.001
beta_H[11,6] 10.671 0.380 9.866 10.690 11.343
beta_H[12,6] 9.364 0.240 8.892 9.356 9.877
beta_H[13,6] 11.093 0.155 10.817 11.086 11.415
beta_H[14,6] 9.917 0.270 9.378 9.916 10.448
beta_H[15,6] 10.670 0.435 9.801 10.669 11.536
beta_H[16,6] 10.667 0.246 10.161 10.670 11.145
beta_H[1,7] 10.210 1.321 6.734 10.545 11.952
beta_H[2,7] 12.133 0.431 11.203 12.154 12.950
beta_H[3,7] 10.264 0.742 8.645 10.339 11.552
beta_H[4,7] 1.710 4.028 -5.951 1.567 10.094
beta_H[5,7] 5.853 3.333 -2.073 6.001 11.625
beta_H[6,7] 8.484 1.636 4.210 8.870 10.641
beta_H[7,7] 7.868 2.666 2.603 7.879 13.160
beta_H[8,7] 10.869 0.802 9.422 10.862 12.338
beta_H[9,7] 4.264 3.276 -2.269 4.267 10.539
beta_H[10,7] 10.213 1.585 7.446 10.056 13.697
beta_H[11,7] 11.523 1.882 8.127 11.352 15.659
beta_H[12,7] 9.910 0.870 8.044 9.972 11.438
beta_H[13,7] 11.705 0.698 10.132 11.773 12.869
beta_H[14,7] 10.651 0.877 8.838 10.687 12.268
beta_H[15,7] 13.558 2.304 9.036 13.569 18.111
beta_H[16,7] 12.665 1.315 10.433 12.502 15.593
beta0_H[1] 8.398 17.672 -29.658 8.680 45.040
beta0_H[2] 10.842 6.228 -1.219 10.811 23.396
beta0_H[3] 9.724 12.018 -12.816 9.784 32.500
beta0_H[4] 6.433 175.719 -346.350 9.032 354.819
beta0_H[5] 4.777 49.227 -85.150 4.442 108.876
beta0_H[6] 7.509 26.381 -52.321 7.691 60.390
beta0_H[7] 2.874 124.711 -251.007 2.371 257.953
beta0_H[8] 6.494 21.521 -15.232 6.702 27.595
beta0_H[9] 8.884 116.334 -218.040 5.230 250.273
beta0_H[10] 9.174 34.428 -61.702 9.328 80.614
beta0_H[11] 9.197 53.643 -100.973 9.028 124.623
beta0_H[12] 6.157 11.124 -17.470 6.489 28.158
beta0_H[13] 9.898 10.524 -9.553 9.954 30.041
beta0_H[14] 7.347 10.814 -14.901 7.347 28.871
beta0_H[15] 6.233 117.053 -229.806 7.047 251.905
beta0_H[16] 8.297 30.029 -53.397 8.182 73.115